A simple modeling of ferroelectric actuator based on phenomenological model

This paper proposes a simplified phenomenological macroscopic model of a nonlinear ferroelectric actuator. The key ingredient of the proposed model is based on the assumption of direct relation between the irreversible strain and irreversible electric field, which not only reduces the number of internal variables but also facilitate finite element formulation. The model is implemented into a finite element framework, in which return mapping algorithm is employed to solve the evolution of internal variable, to simulate a micro-size ferroelectric actuator. Numerical results are compared with experimental data, demonstrating robustness of the proposed model for micro-actuator design.